One-dimensional dark solitons in lattices with higher-order nonlinearities

18th International School on Condensed Matter Physics: "Challenges of Nanoscale Science: Theory, Materials, Applications"

Primatarowa, M.T.^1 ; Kamburova, R.S.^1

Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, Sofia

1784, Bulgaria^1

关键词: Bound soliton;    Dinger equation;    Exact analytical solutions;    Fifth order nonlinearity;    Higher order nonlinearity;    Nonlinear interactions;    Physical systems;    Quintic nonlinearity;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/558/1/012021/pdf
DOI  :  10.1088/1742-6596/558/1/012021

来源: IOP

【 摘 要 】

The existence of dark solitons in the discrete nonlinear Schrödinger equation with third- and fifth-order nonlinearities is investigated. Effects of discreteness for the homogeneous case are analyzed. Exact analytical solutions are found for wide static dark solitons in the presence of impurities. The bound soliton-defect formations can have a single minimum for attractive impurities or two minima for repulsive impurities. In contrast to the standard cubic nonlinear case, where the positions of the minima do not depend on the nonlinearity, now they are strongly influenced by the quintic nonlinearity. The model plays an important role in numerous physical systems with complicated nonlinear interactions.